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Finding the Fourth Proportional to 697.48, 1,044.78 and 644.20

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Solution

The fourth proportional to 697.48, 1,044.78 and 644.20 is: 964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.48 : 1,044.78 = 644.20 : x
  2. Step 2: Convert to fraction form
    697.48/1,044.78 = 644.20/x
  3. Step 3: Cross multiply
    697.48x = 1,044.78 × 644.20
  4. Step 4: Simplify right side
    697.48x = 673,047.28
  5. Step 5: Solve for x
    x = 673,047.28/697.48
  6. Step 6: Final answer
    x = 964.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.